Linear Functions and Their Characteristics

The video tutorial explains how to identify linear functions by their form, y = mx + b, where m is the slope indicating a constant rate of change. It evaluates several answer choices to determine which are linear or exponential, emphasizing that linear functions change at a constant rate, unlike exponential functions. The correct linear functions are identified as those that fit the y = mx + b form.

What is the general form of a linear function?

• y = ax^2 + bx + c

• y = mx + b

• y = a^x

• y = log(x)

In the equation s = 7b + 2, what does the number 7 represent?

• The y-intercept

• The slope

• The exponent

• The constant term

Which of the following is NOT a characteristic of a linear function?

• Constant rate of change

• Exponential growth

• Straight line graph

• Form y = mx + b

Why is the function s = 7 * 2^d not considered linear?

• It has a constant rate of change

• It has a slope of zero

• It is in the form y = mx + b

• It contains an exponent

Which of the following functions is linear?

• s = log(x)

• s = x^2 + 2x + 1

• s = 5x + 1

• s = 3^x

What indicates that a function is changing at a constant rate?

• A quadratic term

• Presence of an exponent

• A variable in the denominator

• A constant slope

Which answer choices were identified as linear functions?

• A and C

• A and B

• D and E

• B and C